Equivalence and stability of random fixed point iterativeprocedures

IsmatBeg; MujahidAbbas

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Equivalence and stability of random fixed point iterativeprocedures

机译：随机定点迭代过程的等价性和稳定性

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We generate a sequence of measurable mappings iteratively andstudy necessary conditions for its strong convergence to a randomfixed point of strongly pseudocontractive random operator. Weestablish the weak convergence of an implicit random iterativeprocedure to common random fixed point of a finite family ofnonexpansive random operators in Hilbert spaces. We prove theequivalence between the convergence of random Ishikawa and randomMann iterative schemes for contraction random operator andstrongly pseudocontractive random operator. We also examine thestability of random fixed point iterative procedures for therandom operators satisfying certain contractiveconditions in the context of metric spaces.

机译：我们迭代地生成了一系列可测映射，并研究了其可强收敛到强伪收缩随机算子的随机不动点的必要条件。我们建立了一个隐式随机迭代过程到Hilbert空间中一类非膨胀随机算子有限族的公共随机不动点的弱收敛。我们证明了收缩石随机算子和强伪收缩随机算子的随机Ishikawa收敛性和RandomMann迭代方案的等价性。我们还研究了在度量空间环境下满足某些收缩条件的随机算子的随机不动点迭代过程的稳定性。

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《International journal of stochastic analysis》 |2006年第3期|共19页
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IsmatBeg; MujahidAbbas;
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机译：随机不动点迭代程序的等价性和稳定性

Equivalence and stability of random fixed point iterativeprocedures

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